How do you combine like terms in #(5x ^ { 2} + 4x - 9) - ( - x ^ { 2} - 6x - 1)#?

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Answer 1 · 2017-05-27T20:51:16

See a solution process below:

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

#5x^2 + 4x - 9 + x^2 + 6x + 1#

Next, group like terms:

#5x^2 + x^2 + 4x + 6x - 9 + 1#

Now, combine like terms:

#5x^2 + 1x^2 + 4x + 6x - 9 + 1#

#(5 + 1)x^2 + (4 + 6)x + (-9 + 1)#

#6x^2 + 10x + (-8)#

#6x^2 + 10x - 8#